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Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics)

Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains (Cambridge Studies in Advanced Mathematics)
By Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

Publisher: Cambridge University Press
Number Of Pages: 454
Publication Date: 2008-03-17
ISBN-10 / ASIN: 0521883369
ISBN-13 / EAN: 9780521883368
Binding: Hardcover

Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green’s algebras, the complete analysis of the random matchings, and a presentation of the presentation theory of the symmetric group. This self-contained, detailed study culminates with case-by-case analyses of the cut-off phenomenon discovered by Persi Diaconis.

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